Trump says in a pair of tweets Friday evening that Craft "has done an outstanding job representing our Nation" and he has "no doubt that, under her leadership, our Country will be represented at the highest level."
The US Department of State spokesperson said she took the decision "in the best interests" of her family.
If confirmed by the Senate, she would succeed Nikki Haley, who said in October she would be leaving the UN post at the end of the year.
US denies reaching any conclusion on Jamal Khashoggi's killing after Washington Post reported that the CIA believed Saudi Crown Prince Mohammed bin Salman ordered the hit.
Evangelical pastor Andrew Craig Brunson, who was arrested by Turkish authorities in 2016 on charges of espionage and links with terror groups, released by Turkish court.
Russian defence minister Sergei Shoigu says Moscow has delivered four S-300 launchers along with radars and support vehicles to Syria and that it will take three months to train Syrian personnel to operate the system.
As residents in Idlib look to Turkey for security, UN envoy for Syria urges Turkish President Erdogan and Russian President Putin to "make a telephone call, organise a formula" which could help avoid a battle ending in a bloodbath.
Triggered by Ottawa's comments expressing concern over the arrest of women's rights activists in Saudi Arabia, the dispute shows no sign of ending, with the Kingdom announcing one action after another to escalate the row between the two US allies.
Despite reports that North Korea is continuing its nuclear program, the White House remains upbeat that denuclearisation will happen.
The bombardment on southern rebel-held areas came barely hours after the US warned the Syrian regime not to jeopardise talks on the fate of the Daraa region.
The US State Department says Palestinian journalist Yasser Murtaja was approved for funding under a program that supports private sector development.
The 'Future Syria Party' was launched in Syria's Raqqa, which is held by the YPG, with the initiative of US officials, signalling US' future plans for the country.
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